Question

Work done when 2 moles of an ideal gas is compressed from a volume of 5 m³ to 1 dm³ at 300 K, under a pressure of 100 kPa is ____________.

Options

• −409.9 kJ

• −99.5 kJ

• 424.95 kJ

• 499.9 kJ

Answer 1

Work done when 2 moles of an ideal gas is compressed from a volume of 5 m³ to 1 dm³ at 300 K, under a pressure of 100 kPa is 499.9 kJ.

Explanation:

No. of moles = 2

Initial volume V₁ = 5 m³

Final volume V₂ = 1 dm³ = 10⁻² m³

Pressure = 100 kPa = 10⁵ Pa

W = −P Δ V = −P (V₂ − V₁)

= 10⁵ (10⁻² − 5)

W = 499.9 kJ